Abstract

In this paper we study the existence, and continuous dependence of the solution ϑ=ϑ(x,t) on a Hölder space H2+γ,1+γ/2(Q¯τ)(Q¯τ=[0,1]×[0,τ], 0<γ<1) of a linear parabolic
equation, prescribing ϑ(x,0)=f(x), ϑx(1,τ)=g(τ) the integral type condition ∫0bϑ(x,τ)dx=E(τ).

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